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Finding the Fourth Proportional to 1,224.78, 1,690.16 and 665.24

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Solution

The fourth proportional to 1,224.78, 1,690.16 and 665.24 is: 918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.78 : 1,690.16 = 665.24 : x
  2. Step 2: Convert to fraction form
    1,224.78/1,690.16 = 665.24/x
  3. Step 3: Cross multiply
    1,224.78x = 1,690.16 × 665.24
  4. Step 4: Simplify right side
    1,224.78x = 1,124,354.49
  5. Step 5: Solve for x
    x = 1,124,354.49/1,224.78
  6. Step 6: Final answer
    x = 918.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.